The perimeter of the sector of the circle of area 81π sq.cm is 36 cm. Find the area of sector.
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Step-by-step explanation:
360
0
has area=81πcm
2
300
0
has area =
360
81π
×300cm
2
=
36
81π
×30cm
2
=
6
81π×5
cm
2
=
6
405π
cm
2
=
2
135
πcm
2
2πr (circumference) has →81πcm
2
area
or 81πcm
2
area →2πr are length
⇒ Length of arc =
162
2πr×135
πr
2
=81cm
2
⇒r=
π
81
∴ Length of arc corresponding to 300
0
angle =
162
270π
π
81
=
3
5π
π
81
=
3
5
81π
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